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Intersecting lines are coplanar

Anonymous

∙ 8y ago

Updated: 10/17/2024

Yes

Lexie Crooks ∙

Lvl 10

∙ 3y ago

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Q: Intersecting lines are coplanar

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If two lines are not coplanar then they are neither intersecting nor parallel?

CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"

Can two intersecting lines be non-coplanar?

No.

Are two intersecting lines are coplanar?

Yes.

Are vertical angles formed by two intersecting lines coplanar?

Yes. They're in the plane defined by the two intersecting lines.

Is intersecting lines always coplanar?

Yes. The two lines define a plane which they both belong to.

Difference between concurrent coplanar forces and non concurrent coplanar forces?

Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.

Are any two noncoplanar lines skew?

I guess they are. If they're parallel or intersecting, then they're coplanar.

How many planes can contain intersecting lines?

I'm not entirely certain what you're asking. Any pair of intersecting lines are of necessity coplanar, (assuming Euclidean geometry) though.

How many pairs of vertical angles are formed by 3 coplanar lines intersecting at one point?

Eight.

Do Coplanar lines are either parallel or intersecting?

Yes. Although, they could be coincident which may not be covered by either of these descriptions.

How many pairs of vertical angles are formed by 5 coplanar lines intersecting at one point?

20....or maybe 18

Why can two lines be coplanar?

Two lines are not always coplanar. If they intersect or are parallel, thenthey're coplanar. But if they're skew, then they're not coplanar.Example of parallel lines in space:The top and bottom edges of a wall in your room.Example of intersecting lines in space:The top edge and left edge of a wall in your room.Example of skew lines in space:The top edge of one wall and the bottom edge of a wall next to it in your room.